RiemannSiegelTheta

RiemannSiegelTheta[t]

gives the RiemannSiegel function .

Details

  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • for real .
  • arises in the study of the Riemann zeta function on the critical line. It is closely related to the number of zeros of for .
  • is an analytic function of except for branch cuts on the imaginary axis running from to .
  • For certain special arguments, RiemannSiegelTheta automatically evaluates to exact values.
  • RiemannSiegelTheta can be evaluated to arbitrary numerical precision.
  • RiemannSiegelTheta automatically threads over lists.

Examples

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Basic Examples  (2)

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Series expansion at infinity:

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Scope  (5)

Generalizations & Extensions  (2)

Applications  (2)

Properties & Relations  (2)

Possible Issues  (2)

Neat Examples  (1)

See Also

RiemannSiegelZ  Zeta  RamanujanTauTheta

Tutorials

Introduced in 1991
(2.0)